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Finding the Fourth Proportional to 169.59, 253.98 and 142.68

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Solution

The fourth proportional to 169.59, 253.98 and 142.68 is: 213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.59 : 253.98 = 142.68 : x
  2. Step 2: Convert to fraction form
    169.59/253.98 = 142.68/x
  3. Step 3: Cross multiply
    169.59x = 253.98 × 142.68
  4. Step 4: Simplify right side
    169.59x = 36,237.87
  5. Step 5: Solve for x
    x = 36,237.87/169.59
  6. Step 6: Final answer
    x = 213.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.